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1607057541325 = 52293679332297
BaseRepresentation
bin10111011000101100000…
…110000000100011001101
312200122002121021201121201
4113120230012000203031
5202312223212310300
63230134432225501
7224051245500205
oct27305406004315
95618077251551
101607057541325
1156a6050a4775
1221b56039b291
13b8711127ab2
1457ad3b45405
152bc0aeb766a
hex1762c1808cd

1607057541325 has 24 divisors (see below), whose sum is σ = 1999908825768. Its totient is φ = 1281029882880.

The previous prime is 1607057541259. The next prime is 1607057541449. The reversal of 1607057541325 is 5231457507061.

It can be written as a sum of positive squares in 12 ways, for example, as 54038116521 + 1553019424804 = 232461^2 + 1246202^2 .

It is not a de Polignac number, because 1607057541325 - 217 = 1607057410253 is a prime.

It is a super-2 number, since 2×16070575413252 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49742577 + ... + 49774873.

It is an arithmetic number, because the mean of its divisors is an integer number (83329534407).

Almost surely, 21607057541325 is an apocalyptic number.

It is an amenable number.

1607057541325 is a deficient number, since it is larger than the sum of its proper divisors (392851284443).

1607057541325 is a wasteful number, since it uses less digits than its factorization.

1607057541325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39393 (or 39388 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 46.

The spelling of 1607057541325 in words is "one trillion, six hundred seven billion, fifty-seven million, five hundred forty-one thousand, three hundred twenty-five".

Divisors: 1 5 25 293 1465 6793 7325 32297 33965 161485 169825 807425 1990349 9463021 9951745 47315105 49758725 219393521 236575525 1096967605 5484838025 64282301653 321411508265 1607057541325